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1140397298964 = 22327113123835569
BaseRepresentation
bin10000100110000100111…
…110011101010100010100
311001000120020201011221200
4100212010332131110110
5122141013202031324
62231520303512500
7145251052050240
oct20460476352424
94030506634850
101140397298964
113aa7045aa690
121650248b8730
1383701264881
143d2a4735420
151e9e72b5ec9
hex10984f9d514

1140397298964 has 288 divisors, whose sum is σ = 3712137461760. Its totient is φ = 286480281600.

The previous prime is 1140397298951. The next prime is 1140397298981. The reversal of 1140397298964 is 4698927930411.

1140397298964 is a `hidden beast` number, since 1 + 1 + 403 + 97 + 2 + 9 + 89 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204773172 + ... + 204778740.

Almost surely, 21140397298964 is an apocalyptic number.

1140397298964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140397298964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856068730880).

1140397298964 is an abundant number, since it is smaller than the sum of its proper divisors (2571740162796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1140397298964 is a wasteful number, since it uses less digits than its factorization.

1140397298964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8011 (or 8006 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 1140397298964 in words is "one trillion, one hundred forty billion, three hundred ninety-seven million, two hundred ninety-eight thousand, nine hundred sixty-four".